{ "id": "1207.5302", "version": "v2", "published": "2012-07-23T06:23:00.000Z", "updated": "2012-11-15T05:51:04.000Z", "title": "Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity", "authors": [ "Ryu Sasaki", "Kouichi Takemura" ], "journal": "SIGMA 8 (2012), 085, 18 pages", "doi": "10.3842/SIGMA.2012.085", "categories": [ "math.CA", "hep-th", "math-ph", "math.MP", "quant-ph" ], "abstract": "Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent -2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.", "revisions": [ { "version": "v2", "updated": "2012-11-15T05:51:04.000Z" } ], "analyses": { "keywords": [ "second-order differential equations", "apparent singularity", "high degree", "global solutions", "characteristic exponent" ], "tags": [ "journal article" ], "publication": { "journal": "SIGMA", "year": 2012, "month": "Nov", "volume": 8, "pages": "085" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1123550, "adsabs": "2012SIGMA...8..085S" } } }